GATE CS 2023 | Q16: Geetha has a conjecture about integers, which is of the form ∀x(P(x)→∃y Q (x,y))

GATE CS 2023 | Question: 16
Geetha has a conjecture about integers, which is of the form ∀x(P(x)→∃y Q (x,y))
Where P is a statement about integers, and Q is a statement about pairs of integers. Which ofthe following (one or more) option(s) would imply Geetha’s conjecture?
(a) ∃x (P (x) ∧ ∀y Q (x,y)) (b) ∀x∀y Q(x,y)
(c) ∃y ∀ x (P (x)→Q (x,y)) (d) ∃x (P (x) ∧ ∃ yQ (x,y))

Ans : (B,C)
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